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2788240 = 245713383
BaseRepresentation
bin1010101000101110010000
312020122202011
422220232100
51203210430
6135432304
732461660
oct12505620
95218664
102788240
111634934
12b25694
13768160
145281a0
153a122a
hex2a8b90

2788240 has 80 divisors (see below), whose sum is σ = 7999488. Its totient is φ = 880128.

The previous prime is 2788217. The next prime is 2788273. The reversal of 2788240 is 428872.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7089 + ... + 7471.

22788240 is an apocalyptic number.

2788240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744).

2788240 is an abundant number, since it is smaller than the sum of its proper divisors (5211248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2788240 is a wasteful number, since it uses less digits than its factorization.

2788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 2788240 is about 1669.8023835173. The cubic root of 2788240 is about 140.7483733763.

The spelling of 2788240 in words is "two million, seven hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 383 455 520 560 728 766 910 1040 1456 1532 1820 1915 2681 3064 3640 3830 4979 5362 6128 7280 7660 9958 10724 13405 15320 19916 21448 24895 26810 30640 34853 39832 42896 49790 53620 69706 79664 99580 107240 139412 174265 199160 214480 278824 348530 398320 557648 697060 1394120 2788240